Solving Trig Equations #1

Front

What is the general solution for the equation tan x = -1?

Back

x = \frac{3\pi}{4} + n\pi, n \in \mathbb{Z}

Front

What angles correspond to cosθ = -√(3)/2?

Back

θ = \frac{5\pi}{6}, \frac{7\pi}{6}

Front

How do you solve the equation -2 + tanθ = -3?

Back

θ = \frac{3\pi}{4}, \frac{7\pi}{4}

Front

What is the solution for the equation 3sinx + 5 = 5?

Back

x = 0

Front

What are the solutions for 4sin²x = 3 on the domain [0, 2π)?

Back

x = \frac{\pi}{3}, \frac{2\pi}{3}, \frac{4\pi}{3}, \frac{5\pi}{3}

Front

What is the range of the sine function?

Back

[-1, 1]

Front

What is the range of the cosine function?

Back

[-1, 1]

Front

What is the period of the sine function?

Back

2π

Front

What is the period of the cosine function?

Back

2π

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ) or sin(θ) = cos(\frac{\pi}{2} - θ) in radians.